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101321210033121 = 31346146312171773
BaseRepresentation
bin10111000010011010101110…
…101110110111001111100001
3111021202012202100002022011010
4113002122232232313033201
5101240021314232024441
6555254153223011133
730225134016134121
oct2702325656671741
9437665670068133
10101321210033121
112a3140a1697161
12b444890299aa9
13446c71a513130
141b03d89264c81
15baa8e57ce116
hex5c26aebb73e1

101321210033121 has 32 divisors (see below), whose sum is σ = 146117375534592. Its totient is φ = 62081879650560.

The previous prime is 101321210033107. The next prime is 101321210033161. The reversal of 101321210033121 is 121330012123101.

It is not a de Polignac number, because 101321210033121 - 214 = 101321210016737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101321210033101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238391 + ... + 14410163.

It is an arithmetic number, because the mean of its divisors is an integer number (4566167985456).

Almost surely, 2101321210033121 is an apocalyptic number.

It is an amenable number.

101321210033121 is a deficient number, since it is larger than the sum of its proper divisors (44796165501471).

101321210033121 is a wasteful number, since it uses less digits than its factorization.

101321210033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172713.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101321210033121 its reverse (121330012123101), we get a palindrome (222651222156222).

The spelling of 101321210033121 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred ten million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 13 39 461 463 1383 1389 5993 6019 17979 18057 213443 640329 2774759 8324277 12171773 36515319 158233049 474699147 5611187353 5635530899 16833562059 16906592697 72945435589 73261901687 218836306767 219785705061 2597979744439 7793939233317 33773736677707 101321210033121